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21310112334240 = 2532561242601461
BaseRepresentation
bin1001101100001101001011…
…01011010000000110100000
32210110020010100221202121200
410312012211223100012200
510243121102224143430
6113153421440121200
74326414310101312
oct466064553200640
983406110852550
1021310112334240
11687662794a654
122482061606200
13bb76c543a2b2
145395b484b7b2
1526e4d1958460
hex1361a5ad01a0

21310112334240 has 144 divisors (see below), whose sum is σ = 73912902224616. Its totient is φ = 5589537638400.

The previous prime is 21310112334209. The next prime is 21310112334307. The reversal of 21310112334240 is 4243321101312.

21310112334240 is a `hidden beast` number, since 2 + 1 + 3 + 1 + 0 + 1 + 1 + 233 + 424 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 13544549205264 + 7765563128976 = 3680292^2 + 2786676^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 121212891 + ... + 121388570.

Almost surely, 221310112334240 is an apocalyptic number.

21310112334240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21310112334240 is an abundant number, since it is smaller than the sum of its proper divisors (52602789890376).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

21310112334240 is a wasteful number, since it uses less digits than its factorization.

21310112334240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242601543 (or 242601532 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 21310112334240 its reverse (4243321101312), we get a palindrome (25553433435552).

The spelling of 21310112334240 in words is "twenty-one trillion, three hundred ten billion, one hundred twelve million, three hundred thirty-four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 61 72 80 90 96 120 122 144 160 180 183 240 244 288 305 360 366 480 488 549 610 720 732 915 976 1098 1220 1440 1464 1830 1952 2196 2440 2745 2928 3660 4392 4880 5490 5856 7320 8784 9760 10980 14640 17568 21960 29280 43920 87840 242601461 485202922 727804383 970405844 1213007305 1455608766 1940811688 2183413149 2426014610 2911217532 3639021915 3881623376 4366826298 4852029220 5822435064 7278043830 7763246752 8733652596 9704058440 10917065745 11644870128 14556087660 14798689121 17467305192 19408116880 21834131490 23289740256 29112175320 29597378242 34934610384 38816233760 43668262980 44396067363 58224350640 59194756484 69869220768 73993445605 87336525960 88792134726 116448701280 118389512968 133188202089 147986891210 174673051920 177584269452 221980336815 236779025936 266376404178 295973782420 349346103840 355168538904 443960673630 473558051872 532752808356 591947564840 665941010445 710337077808 887921347260 1065505616712 1183895129680 1331882020890 1420674155616 1775842694520 2131011233424 2367790259360 2663764041780 3551685389040 4262022466848 5327528083560 7103370778080 10655056167120 21310112334240